The random-number generator on calculators randomly generates a number between 0

Question

The random-number generator on calculators randomly generates a number between 0 and 1. The random variable X, the number generated, follows a uniform probability distribution (a) Identify the graph of the uniform density funcion. (b) What is the probability of generating a number between 0.05 and 0.65? (c) What is the probability of generating a numberreater than 0.84? (a) Choose the correct graph of the uniform densily function below. A. O B. a. 0.2 0.4 D6 08 1 1.2 02 04 06 08 1 1.2 0.2 04 06 0.8 1 1.2 (b) The probability is Simplify your answer.) (c) The probaly is(Simplify your answer.)

Explanation / Answer

a) Correct answer is C

b) P(0.05<x<0.65)=(0.65-0.05)/(1-0)=0.6

c) P(x>0.84)=(1-0.84)/(1-0)=0.16

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